Truncated Yang–Baxter Conjecture

Definitions and mathematical statement

Statement unavailable. The supplied record for UnsolvedMath ID $30006487$, source code catalogue entry, contains a truncated table-of-contents fragment rather than a mathematical assertion. It supplies no recoverable definitions, hypotheses, domains, boundary conditions, quantifiers, or conclusion. Consequently, a precise conjecture cannot be stated from this evidence.

The fragment begins with the isolated word "conjecture" followed by dot leaders and page number 2656. It then lists Silvia Properzi, with the parenthetical attribution "joint with C. Dietzel, E. Feingesicht and C. Dietzel, S. Trappeniers", followed by "Skew braces, indecomposability and Dehornoy's representations for solutions to the Yang-Baxter equation" and page number 2657; Isabela Recio, followed by "Categorical braid group actions and higher idempotent completion" and page number 2661; and Eric C. Rowell, followed by "Braiding Circuits, Localisation, and Property F" and page number 2662. It ends with the workshop title and "Table of Contents". These adjacent entries do not establish the subject or author of the truncated conjecture. The repeated occurrence of C. Dietzel in the supplied parenthetical attribution is retained without correction.

The registry marks the statement as unrecoverable, supplies no clean statement, and reports that the official report confirms that the fragment contains only a reference to a conjecture with no recoverable formulation. This is supplied verification metadata, not an independently verified finding here. The registry's open label reflects its stated conservative triage of unresolved extracted content; it does not establish a well-defined open mathematical conjecture. No replacement assertion is inferred from the neighboring titles.

Short English statement

The supplied text is a truncated table of contents. It does not identify a conjecture precisely enough to formalize. Its neighboring titles and names are preserved as provenance, and its supplied open label is a curation assessment rather than independently verified mathematical status.

Sources

• Local registry: data/unsolvedmath/problems.json, with catalog/problems.json as the additional-record registry; supplied complete record for permanent UnsolvedMath ID $30006487$, source code catalogue entry, titled "Truncated Yang--Baxter Conjecture", in "Oberwolfach Reports Open Problems". The supplied record gives proposed year 2025 and no proposer. The record's presence in either particular registry file has not been independently checked here.
• Supplied report citation: Mini-Workshop: The Yang--Baxter Equation and Representations of Braid Groups (2026), Oberwolfach Reports, DOI 10.4171/owr/2025/49, pp. 2633--2672. Supplied source URL: https://doi.org/10.4171/owr/2025/49. The citation's year 2026 is retained alongside the report identifier 49/2025 without resolving their relationship.
• Supplied literature_sources reference: "Oberwolfach Report 49/2025", https://doi.org/10.4171/owr/2025/49. The exact supplied literature-check date is 2026-08-22. This is supplied dated curation, not independently verified: its assessment describes the extraction as a malformed table-of-contents or conjecture fragment that does not identify a resolved mathematical assertion, and labels its unresolved content open under a conservative triage rule. The supplied background requests independent verification of time-sensitive status and cited claims.
• Supplied attribution context: Oberwolfach Reports document mathematical workshops and their open-problem discussions. The fragment includes Silvia Properzi and the parenthetical collaborators C. Dietzel, E. Feingesicht, C. Dietzel, and S. Trappeniers, as well as neighboring entries naming Isabela Recio and Eric C. Rowell. None is established as the proposer of the truncated conjecture.